What is the solution to this equation?
log + log 3 =
log(+1)
OA I=
OB.
I=
OC
I=
D. = 1
312
NIT
13

Answer:

g(-3) = 23

Step-by-step explanation:

This question is telling us that x = -3. Knowing this, we can plug x into the equation and solve to find g(-3).

[tex]g(-3) = 3(-3)^{2} -4[/tex]

[tex]g(-3) =3(9)-4[/tex]                      Square -3 to get 9

[tex]g(-3) = 27-4[/tex]                         Multiply 9 by 3 to get 27

[tex]g(-3) = 23[/tex]                               Subtract 4 from 27 to get 23

Thus, g(-3) is equal to 23.

I hope this helps! Good luck!

If the dimensions of the prism are doubled the surface area of the enlarged prism is 640 cm²

where

h = height

l = length

w = width

Therefore, if the dimension of the prism are doubled the new dimension will be as follows:

l = 5(2) = 10 cm

w = 2(2) = 4 cm

h = 10(2) = 20 cm

Therefore,

surface area = 2(10 × 4) + 2(10 × 20) + 2(20 × 4)

surface area = 2(40) + 2(200) + 2(80)

surface area = 80 + 400 + 160

surface area = 640 cm²

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Volume

we have three sides, let's look at the two smaller sides first.

check the picture below atop

if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side?  Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 9 - 4 = 5.  However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle.  So whatever the third side may be, it must be greater than 5.

check the picture below at the bottom

Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 4 + 9 = 13.  However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle.  So whatever the third side may be, it must be less than 13.

What interest rate do you need to double your money in 10 years?

R = 72/t = 72/10 = 7.2% Example Calculation in Months If you invest a sum of money at 0.5% interest per month, how long will it take you to double your investment? t=72/R = 72/0.5 = 144 months (since R is a monthly rate the answer is in months rather than years)

Therefore, since R is a monthly rate the answer is in months rather than years, the interest rate that you need for an $5000 investment compounded annually to double in 10 years is 7.2%

Answer:

[tex] \frac{31}{50} \\ \frac{31}{50} \times 100 = 62\% [/tex]

Answer:

Hope the picture will help you........

Answer:

i d k the answer soory about that

Step-by-step explanation:

just for points

AnswerI dont know

Step-by-step explanation:

how do you expect me to k

Answer:

12

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

If the order matters, we can use the product rule to show each of the [tex]20[/tex] coins can be chosen in [tex]5[/tex] ways, for a total of [tex]5^{20[/tex] ways, assuming you have enough of each type of coins.

If the order does not matter (which in the case it probably does not) you have to use an r-combination. The formula is[tex]C(n+r-1,r)[/tex]. Here [tex]n=5[/tex] and [tex]r=20[/tex]. So we get [tex]C(24,20)[/tex].

Answer:

The volume of cube whose total surface area is 486 cm² is 729 cm³

Step-by-step explanation:

Answer: Slope: 3

x-intercept(s): [tex](-\frac{1}{3} , 0)[/tex]

y-intercept(s): [tex](0,1)[/tex]

The equation of the line will be (assuming the y-intercept equal to zero):

y = 2.5*x

We know that we have a linear equation of the form:

y = a*x + b

Such that we know that the line passes through (-3, -7.5), notice that the proposed equation is:

y = 0.5*x

If you evaluate that in -3, you get:

y = 0.5*-3 = -1.5

So this line does not pass through (-3, -7.5).

If we assume that b = 0 in the linear equation, then we can find the value of a as:

-7.5  =  a*-3

a = 7.5/3 = 2.5

Then the linear equation is:

y = 2.5*x

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so the answer is 4

how to get the answer

[tex](-24)[/tex] ÷ [tex]-6+10[/tex]

take the last part

[tex]-6+10[/tex]

and you would solve that

it would be 4

Answer:

9000

Step-by-step explanation:

1,2,3,4 round down

5,6,7,8,9 round up

Look at the 100's column for rounding to the nearest 1000

The value of f(-3) for the function f(a)  = -2a² - 5a + 4 is 1.

Function relates input and outputs. The outputs are called the ranges of dependent variables while the input are called domain or independent variables.

Therefore,

f(a)  = -2a² - 5a + 4

Hence,

f(-3) = -2(-3)² - 5(-3) + 4

Therefore,

f(-3) = -18 + 15 + 4

f(-3) = -3 + 4

f(-3) = 1

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Answer:

B

Step-by-step explanation:

You don't have do do anything with the denominator because they are the same so simply subtract!

= 5 [tex]\frac{1}{3}[/tex]

Answer:

[tex]24(f(n))[/tex]

Step-by-step explanation:

[tex]f(n+3) = 3^{n+3}\\f(n+1) = 3^{n+1}[/tex]

so

[tex]f(n+3) - f(n+1) = 3^{n+3} - 3^{n+1}[/tex]

[tex]= 27(3^n) - 3(3^n)[/tex]

[tex]= 24(3^n)[/tex]

[tex]= 24(f(n))[/tex]

hope this helped! :)

Bisect is a word that means to divide a thing, line or a circle into two parts. While midpoint is known as the middle point that exist in a line segment.

This theory states that if two angles are said to be put beside each other, the resulting angle is said to be equal in terms of the sum of the two real angle measures.

Note therefore, that that Bisect is a word that means to divide a thing, line or a circle into two parts. While midpoint is known as the middle point that exist in a line segment.

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Answer:

y axis please set in star then I will tell

Answer:

a'= (10,-9)  b'= (9,0) c'= (1,0) d'= (10,-1)

Step-by-step explanation:

whenever you reflect over the y you change the x

Answer:

(-4, 40)  y = -9x + 4

(8, 50)   y =  6x + 2

(9, -36)  y = -3x  - 9

(5, 38)   y =  8x -  2

Do you want an explanation?

#1

Put (-4,40)

Verified

#2

put (9,-36)

Verified

#3

Put (5,38)

Verified

#4

Put (8,50)

Hence verifiedl

The figure is a trapezoid (or trapezium), and the exact length of the trapezoid is 5 units

The figure is a trapezoid with the following parameters:

Area = 107.95

Base= 12

Height = 12.7

Length = x

The area of a trapezoid is:

Area = 0.5 * (Base + Length) * Height

So, we have:

0.5 * (12 + Length) * 12.7 = 107.95

Evaluate the product

(12 + Length) * 6.35 = 107.95

Divide both sides by 6.35

12 + Length = 17

Subtract 12 from both sides

Length =  5

Hence, the length of the trapezoid is 5 units

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Answer: 210 advanced tickets were sold. 130 same day tickets were sold.

Step-by-step explanation:

x= advanced tickets y=same day tickets

2x+3y=810 this equation represents the money

x+y=340 this equation represents the total number of tickets

x+y=340

-x     -x

y=-340-x             2x+3(340-x)=810               210+y=340

                           2x+1020-3x=810               -210     -210      

                           -x+1020=810                       y=130

                               -1020  -1020

                                 -x=-210

                                 -1     -1

                                  x=210              

Answer:

2.2 ≤ x ≤ 4.5

Step-by-step explanation:

The rate of change simply is asking when the gradient is negative and since a graph is provided you can tell where the line is declining which is in between 2.2 and 4.5. Without a graph, you can use the derivative to find out the negative rate of change of a cubic instead.

The expression √(5 - n)² is a rational expression, and the simplified expression of √(5 - n)² is 5 - n

The expression is given as:

√(5 - n)²

Where n < 5

The inequality n < 5 has no effect on the expression.

So, we have:

√(5 - n)² = 5 - n

Hence, the simplified expression of √(5 - n)² is 5 - n

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Answer:

600 cm³

Step-by-step explanation:

Figure is of cuboid

length (l) = 10cm

breadth (b) = 4 cm

height (h) = 15cm

volume of cuboid = l.b.h

= 10 × 4 × 15

= 40 × 15

= 600

Therefore,volume of given figure is 600 cm³.

Answer:

1/2,3/5,5/8,7/11,9/14,11/17

Explanation:

Each time, the numerator of the fraction goes up by 2 and the denominator goes up by 3.

Answer:

9/14, 11/17

Step-by-step explanation:

The pattern observed is :

Hence, the next 2 terms are :

Given thet SU = UT = 6 units, hence 6 + 6 = 12 showing that the expression SU + UT = RT is TRUE. Option A is correct

A line is defined as the distance between two points

Since the point T bisects RT and TU = 6 units, hence the point U bisects TS.

The sum of the segment SU and UT will be RT

Given that SU = UT = 6 units, hence 6 + 6 = 12 showing that the expression SU + UT = RT is TRUE

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